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130204783921 = 73249432
BaseRepresentation
bin111100101000011001…
…1110101010100110001
3110110002012021100100111
41321100303311110301
54113124411041141
6135452032221321
712256411255012
oct1712063652461
9413065240314
10130204783921
115024622a343
122129939a841
13c380445454
146432775009
1535c0d15381
hex1e50cf5531

130204783921 has 9 divisors (see below), whose sum is σ = 132039556779. Its totient is φ = 128395176336.

The previous prime is 130204783901. The next prime is 130204783931. The reversal of 130204783921 is 129387402031.

The square root of 130204783921 is 360839.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 73910578225 + 56294205696 = 271865^2 + 237264^2 .

It is not a de Polignac number, because 130204783921 - 211 = 130204781873 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130204783901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 26338776 + ... + 26343718.

Almost surely, 2130204783921 is an apocalyptic number.

130204783921 is the 360839-th square number.

130204783921 is the 180420-th centered octagonal number.

It is an amenable number.

130204783921 is a deficient number, since it is larger than the sum of its proper divisors (1834772858).

130204783921 is an frugal number, since it uses more digits than its factorization.

130204783921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10032 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 130204783921 in words is "one hundred thirty billion, two hundred four million, seven hundred eighty-three thousand, nine hundred twenty-one".

Divisors: 1 73 4943 5329 360839 24433249 26341247 1783627177 130204783921